I Find the equations of tangent and normal lines of the curves at given points: a. x3 + y² – 3xy = 0 at(2,4) IL Find the acute angle between two tangent lines at point of intersection between two curves xy = 32 and y² = 16x III Locate the possible max and min points and pt/s of inflection y = x3 + 6x² + 9x IV Problem Solving 1.The volume of a cube is increasing at the rate of 6cm³ /min. How fast is the surface area increasing when the length of an edge is 12 cm? (know the formula of surface area of a cube). 2. Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of radius 16in.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I Find the equations of tangent and normal lines of the curves at given points:
x³ + y2 – 3xy = 0 at(2,4)
а.
IL Find the acute angle between two tangent lines at point of intersection between two curves
xy = 32 and y² = 16x
III Locate the possible max and min points and pt/s of inflection
y = x3 + 6x² + 9x
IV Problem Solving
1.The volume of a cube is increasing at the rate of 6cm3/min. How fast is the surface area increasing
when the length of an edge is 12 cm? (know the formula of surface area of a cube).
2. Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of
radius 16in.
Transcribed Image Text:I Find the equations of tangent and normal lines of the curves at given points: x³ + y2 – 3xy = 0 at(2,4) а. IL Find the acute angle between two tangent lines at point of intersection between two curves xy = 32 and y² = 16x III Locate the possible max and min points and pt/s of inflection y = x3 + 6x² + 9x IV Problem Solving 1.The volume of a cube is increasing at the rate of 6cm3/min. How fast is the surface area increasing when the length of an edge is 12 cm? (know the formula of surface area of a cube). 2. Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of radius 16in.
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